Calculation of the dosage of drugs. How many milligrams in one gram: exact calculations 1 gram how many mg

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1 milligram [mg] = 1000 microgram [mcg]

Initial value

Converted value

kilogram gram exagram petagram teragram gigagram megagram hectogram decagram decigram centigram milligram microgram nanogram picogram femtogram attogram dalton, atomic mass unit kilogram-force sq. sec/meter kilopound kilopound (kip) slug lbf sq. sec/ft pound troy pound ounce troy ounce metric ounce short ton long (imperial) ton assay ton (US) assay ton (UK) ton (metric) kiloton (metric) centner (metric) centner US centner British quarter (US) quarter (UK) stone (US) stone (UK) ton pennyweight scruple karat gran gamma talent (O.Israel) mina (O.Israel) shekel (O.Israel) bekan (O.Israel) hera (O.Israel) talent (Ancient Greece) mina (Ancient Greece) tetradrachm (Ancient Greece) didrachma (Ancient Greece) drachma (Ancient Greece) denarius (Ancient Rome) ass (Ancient Rome) codrant (Ancient Rome) lepton ( Rome) Planck mass atomic mass unit electron rest mass muon rest mass proton mass neutron mass deuteron mass Earth mass Sun mass Berkovets pud Pound lot spool share quintal livre

American wire gauge

More about mass

General information

Mass is the property of physical bodies to resist acceleration. Mass, unlike weight, does not change depending on the environment and does not depend on the gravitational force of the planet on which this body is located. mass m determined using Newton's second law, according to the formula: F = ma, Where F is power, and a- acceleration.

Mass and weight

In everyday life, the word "weight" is often used when talking about mass. In physics, weight, unlike mass, is a force acting on a body due to the attraction between bodies and planets. Weight can also be calculated using Newton's second law: P= mg, Where m is the mass, and g- acceleration of gravity. This acceleration occurs due to the force of attraction of the planet near which the body is located, and its magnitude also depends on this force. Acceleration of free fall on the Earth is equal to 9.80665 meters per second, and on the Moon - about six times less - 1.63 meters per second. Thus, a body weighing one kilogram weighs 9.8 Newtons on Earth and 1.63 Newtons on the Moon.

gravitational mass

The gravitational mass shows what gravitational force acts on the body (passive mass) and with what gravitational force the body acts on other bodies (active mass). With an increase active gravitational mass body, its force of attraction also increases. It is this force that controls the movement and arrangement of stars, planets and other astronomical objects in the universe. The tides are also caused by the gravitational forces of the Earth and the Moon.

With the increase passive gravitational mass the force with which the gravitational fields of other bodies act on this body also increases.

inertial mass

Inertial mass is the property of a body to resist motion. It is precisely because the body has mass that a certain force must be applied to move the body from its place or change the direction or speed of its movement. The larger the inertial mass, the greater the force required to do this. The mass in Newton's second law is precisely the inertial mass. The gravitational and inertial masses are equal in magnitude.

Mass and relativity

According to the theory of relativity, the gravitating mass changes the curvature of the space-time continuum. The larger such a mass of a body, the stronger this curvature around this body, therefore, near bodies of large mass, such as stars, the trajectory of light rays is curved. this effect in astronomy is called gravitational lenses. On the contrary, far from large astronomical objects (massive stars or their clusters, called galaxies), the movement of light rays is rectilinear.

The main postulate of the theory of relativity is the postulate of the finiteness of the speed of light propagation. Several interesting implications follow from this. First, one can imagine the existence of objects with such a large mass that the second cosmic velocity of such a body will be equal to the speed of light, i.e. no information from this object will be able to get to the outside world. Such space objects in the general theory of relativity are called "black holes" and their existence has been experimentally proven by scientists. Secondly, when an object moves at a near-light speed, its inertial mass increases so much that the local time inside the object slows down compared to time. measured by stationary clocks on Earth. This paradox is known as the “twin paradox”: one of them goes on a space flight at near-light speed, the other remains on Earth. Upon returning from a flight twenty years later, it turns out that the twin astronaut is biologically younger than his brother!

Units

Kilogram

In the SI system, mass is measured in kilograms. The kilogram is determined based on the exact numerical value of Planck's constant h, equal to 6.62607015 × 10⁻³⁴, expressed in J s, which is equal to kg m² s⁻¹, and the second and meter are determined by exact values c and Δ ν Cs. The mass of one liter of water can be approximately considered equal to one kilogram. The derivatives of the kilogram, gram (1/1000 of a kilogram), and ton (1000 kilograms) are not SI units, but are widely used.

Electron-volt

An electron volt is a unit for measuring energy. Usually it is used in the theory of relativity, and the energy is calculated by the formula E=mc², where E is the energy m- weight, and c is the speed of light. According to the principle of equivalence of mass and energy, the electron volt is also a unit of mass in the system of natural units, where c equals one, which means that mass equals energy. Basically, electronvolts are used in nuclear and atomic physics.

Atomic mass unit

Atomic mass unit ( A. eat.) is for the masses of molecules, atoms, and other particles. One a. e.m. is equal to 1/12 of the mass of a carbon nuclide atom, ¹²C. This is approximately 1.66 × 10 ⁻²⁷ kilograms.

Slug

Slugs are used primarily in the British imperial system of measurement in the UK and some other countries. One slug is equal to the mass of a body that is moving at an acceleration of one foot per second per second when a force of one pound force is applied to it. This is approximately 14.59 kilograms.

solar mass

Solar mass is a measure of mass used in astronomy to measure stars, planets and galaxies. One solar mass is equal to the mass of the Sun, that is, 2 × 10³⁰ kilograms. The mass of the Earth is about 333,000 times less.

Carat

Carats measure the mass of precious stones and metals in jewelry. One carat is equal to 200 milligrams. The name and the value itself are associated with the seeds of the carob tree (in English: carob, pronounced carob). One carat used to be equal to the weight of a seed of this tree, and buyers carried their seeds with them to check if they were being deceived by sellers of precious metals and stones. The weight of a gold coin in ancient Rome was equal to 24 carob seeds, and therefore carats began to be used to indicate the amount of gold in the alloy. 24 carats is pure gold, 12 carats is half gold alloy, and so on.

Gran

The gran was used as a measure of weight in many countries before the Renaissance. It was based on the weight of grains, mainly barley, and other crops popular at the time. One grain is equal to about 65 milligrams. It's a little over a quarter carat. Until carats became widespread, grains were used in jewelry. This measure of weight is used to this day to measure the mass of gunpowder, bullets, arrows, as well as gold foil in dentistry.

Other units of mass

In countries where the metric system is not accepted, British imperial system mass measures are used. For example, in the UK, USA and Canada, pounds, stone and ounce are widely used. One pound is equal to 453.6 grams. Stones are mainly used only to measure the mass of a person's body. One stone is approximately 6.35 kilograms or exactly 14 pounds. Ounces are mostly used in cooking recipes, especially for foods in small portions. One ounce is 1/16 of a pound, or approximately 28.35 grams. In Canada, which formally converted to the metric system in the 1970s, many products are sold in rounded imperial units such as one pound or 14 fl oz, but are labeled by weight or volume in metric units. In English, such a system is called "soft metric" (eng. soft metric), in contrast to the "hard metric" system (eng. hard metric), which indicates the rounded weight in metric units on the packaging. This image shows "soft metric" food packages showing weight in metric units only and volume in both metric and imperial units.

Do you find it difficult to translate units of measurement from one language to another? Colleagues are ready to help you. Post a question to TCTerms and within a few minutes you will receive an answer.

We often forget that we studied at school and took a course in physical quantities and units of their measurement. Many do not even know how many milligrams are in a gram, and vice versa.

Why is it so important?

Let's, for starters, figure it out: where it is necessary to know (mandatory), and how knowledge about grams and milligrams can someday come in handy in the life of each of us.

Medicine and industry

Without this knowledge, it is simply impossible to do when it comes to medical dosages, industrial and cosmetic proportions. Moreover, if we talk about medicine, then there is no way to treat values ​​lightly. After all, the lives of millions of people depend on it! The same is true in industry where accuracy is important. Imagine if a worker at an arms factory did not know: how many milligrams are in one gram of gunpowder. It is scary even to speculate about what can happen due to lack of knowledge about grams and milligrams.

In medicine, due to an error in the proportions of active substances, a drug can become a deadly poison, even if half a milligram is too much or not enough!

Unfortunately, there are more and more modern people who even have no idea about the conversion (translation) of physical quantities. Probably, it is no longer a secret that such people can get and have already got into the medical or industrial sphere, where this is indispensable. There are also those who confidently say: "There are one hundred milligrams in one gram." This applies not only to mass, but also to knowledge about other quantities. And who knows where they work? Such mistakes are fraught with accidents and disasters.

In the SI system, only kilograms are used for calculations. Even a small amount of mass is translated into kg. For example, 123 grams should be written as 0.123 kg.

Thanks to those people who are fluent in translating units of measurement of physical quantities, we are alive and have the opportunity to treat diseases, use other substances to make our own lives easier. Pharmacists, for example, know how to properly dose medicines. Chemists who develop pesticides and fertilizers receive effective drugs so that the harvest is good and pests do not destroy crops. They, like no one else, know: how many mg are in 1 gram.

life situations

Probably, you often heard from children who study at school, for example, such words: “Yes, why do you need to know this? I will be a policeman, and this will not be useful to me in life! In fact, how useful.

Let's say you have to give medicine to an old grandmother. The instructions say that you need to take 250 mg twice a day. 250, no more and no less! Otherwise, the drug will start to work incorrectly, cause side effects, or, at all, an overdose. On the box with tablets there is an inscription: "In a package of 50 tablets of 1 g of the active substance." The instructions do not say that you need to break the pill into exactly four parts, but they write that you should take 250 milligrams. As you can see, you need to know how many milligrams are in one gram.

Or, cases with fertilizers, which are sometimes packaged in several grams. For example, a sachet contains one gram of powder. To fertilize, say, an indoor flower, you need to dilute 500 milligrams in 200 milliliters of water. Again, they did not write that the floor of the bag should be diluted, namely 500 mg.

Hunting, the same case with gunpowder. Let's imagine a situation. A person does not buy ready-made cartridges, but charges them on his own. Takes a kilo of gunpowder. For example, 2.25 g must be poured into the cartridge. It has accurate scales that show only in milligrams. He sits and thinks: “What should the milligram scales show me so that I can put 2.25 grams into the cartridge?”. It would be appropriate to know that the required mass of gunpowder should be 2250 milligrams on his scales. Of course, you can use special programs.

Such cases can be cited as examples endlessly. There is only one conclusion from this: whether you work in the field of the precision industry or not, you should have knowledge of the units of measurements of quantities in your head. It'll still come in handy.

How to calculate

Now let's figure it out: how many mg are in 1 gram and vice versa. First of all, it is worth remembering that there are 1000 milligrams in one gram. And 1 milligram is one thousandth of a gram. That is, 1 mg is 0.001 g and 1 g is 1000 mg.

The main thing is not to make a mistake with zeros and correctly transfer the comma of decimal fractions:

  • 1 gram = 1000 milligrams;
  • 10 grams = 10,000 milligrams;
  • 5 milligrams = 0.005 grams;
  • 50 milligrams = 0.05 grams;
  • 500 milligrams = 0.5 (half) grams.

Now we know how many milligrams make up 1 gram. And if on the contrary, then you need to deal with decimal fractions. One zero is the transfer of a comma by one sign. If we want to write 1 milligram as grams, we get 0.001.

1 milligram is one thousandth of a gram. We divide 1 by a thousand, that is, we move the comma to the left by three digits, since there are three zeros in a thousand. 10 milligrams - one hundredth of a gram (two characters). 100 milligrams is one tenth (one sign).

For example, you have 24 milligrams. In grams, it looks like this: 0.024 g. 24 is divided by a thousand. If from grams to milligrams, then zeros are added accordingly. 356 grams is 356,000 mg.

It is easier to work with comma wrapping. It's faster, and you'll never go wrong.

Practical calculation - video

Measures of the volume of liquids

1 teaspoon = 5 ml.

1 dessert spoon = 2 teaspoons = 10 ml.

1 tablespoon = 3 teaspoons = 15 ml.

Example: 1

Composition - 15 mg / 5 ml. (indicated on the package or in the instructions) This means that 1 teaspoon contains 15 mg. medicinal product.

If you are prescribed a single dose of 15 mg, then you should take 1 teaspoon of syrup at a time.

If you are prescribed a single dose of 30 mg, then you should take 2 teaspoons of syrup at a time.

Example: 2

The bottle contains 80 mg / 160 ml, where 80 mg is the active ingredient. In this case, the drug is recommended to take 1 teaspoon 2 times a day.

We calculate the dose in 1 ml: for this, the dose of the substance in the entire volume must be divided by the entire volume of the liquid:

80 mg divided by 160 ml = 0.5 mg in 1 ml.

Since a teaspoon holds 5 ml, we multiply the result by 5. That is: 0.5 mg X 5 \u003d 2.5 mg.

Therefore, 1 teaspoon (single dose) contains 2.5 mg. active substance.

Example: 3

The instructions indicate that 60 ml of the finished solution contains 3000 mg of the active substance.

And 60 ml is 12 teaspoons of 5 ml.

And now we are doing the calculations: the indicated dose of the substance is 3000 mg. divided by 12. That is: 3000 mg / 12 = 250 mg.

So 1 teaspoon of the finished solution is 250 mg.

Example: 4

100 mg. the active substance is contained in 5 ml.

In 1 ml. contains: 100 divided by 5 = 20 mg. active substance.

You need 150 mg.

We divide 150 mg by 20 mg - we get 7.5 ml.

DROPS

1 ml aqueous solution - 20 drops

1 ml alcohol solution - 40 drops

1 ml alcohol-ether solution - 60 drops

STANDARD DILUTION OF ANTIBIOTICS FOR INTRAMUSCULAR ADMINISTRATION

1 mg = 1000 mcg;

1 mcg = 1/1000 mg;

1000 mg = 1 g;

500 mg = 0.5 g;

100 mg = 0.1 g;

1% corresponds to 10 g/l and 10 mg/ml;

2% 20 g/l or 20 mg/ml;

1:1000 = 1 g/1000 ml = 1 mg/ml;

1:10,000 = 1 g/10,000 ml = 0.1 mg/ml or 100 µg/ml;

1:1,000,000 = 1 g/1,000,000 ml = 1 µg/ml

If the solvent is not provided in the package, then when diluting the antibiotic by 0.1 g (100,000 IU) of the powder, take 0.5 ml. solution.

So for breeding:

0.2 g. 1 ml is needed. solvent;

0.5 g. You need 2.5-3 ml. solvent;

1 g needs 5 ml. solvent;

Example: 1

In the vial of ampicillin is 0.5 g of dry drug. How much solvent should be taken to make 0.5 ml. the solution was 0.1 g of dry matter.

When diluting the antibiotic for 0.1 g of dry powder, take 0.5 ml. solvent, therefore:

0.1 g of dry matter - 0.5 ml. solvent

0.5 g of dry matter - X ml. solvent

Answer: to 0.5 ml. the solution was 0.1 g of dry matter, 2.5 ml should be taken. solvent.

Example: 2

In a vial of penicillin is 1,000,000 IU of a dry drug. How much solvent should be taken to make 0.5 ml. solution was 100,000 units of dry matter.

100,000 units of dry matter - 0.5 ml. dry matter

1 000 000 IU - X ml. solvent

Answer: so that in 0.5 ml of the solution there are 100,000 units. dry matter, you need to take 5 ml. solvent.

Example: 3

In the vial of oxacillin is 0.25 g of dry drug. How much solvent do you need to take in order to 1 ml. the solution was 0.1 g of dry matter.

1 ml solution - 0.1 g.

X ml. - 0.25 g.

Answer: so that in 1 ml. the solution was 0.1 g of dry matter, 2.5 ml should be taken. solvent.

Example: 4

The patient needs to enter 400,000 IU. penicillin. A bottle of 1,000,000 units. Dilute 1:1.

How many ml. solution must be taken.

When diluted 1:1 in 1 ml. solution contains 100,000 IU. 1 bottle of penicillin 1,000,000 IU. dilute 10 ml. solution.

If the patient needs to enter 400,000 units, then 4 ml must be taken. the resulting solution.

Attention! Before using medications, you should consult your doctor. The information is provided for informational purposes only.

In order to figure out how many milligrams are in a gram, you need to understand what size these indicators are used to measure. They are needed to measure body weight. It is unlikely that in everyday life you will need an accurate definition of this physical quantity. Simply put, mass is the amount of matter; it is equal to the density of the matter times its volume. In the generally accepted international SI system, body weight is measured in kilograms. To determine the mass of heavy objects, non-systemic units of measurement are used, such as a centner, a ton. But we are more often dealing with light objects that have a mass of less than a kilogram.

1 g = 1000 mg.

1 mg. = 0.001 g

We often have to deal with such a concept as a gram, it is equal to one thousandth of a kilogram. In order to avoid disagreements, the kilogram, stored in France in the Chamber of Weights and Measures, was taken as the standard. Most often, it is in grams that the number of ingredients in all kinds of recipes is given; we encounter this unit of mass when buying goods in supermarkets. In some situations, for example, when calculating the required dose of a drug, we encounter smaller units - milligrams. We need to convert grams to milligrams or vice versa.

Calculator for calculation

Weight units

It is necessary to answer the question, how many milligrams are in one gram? A milligram is one thousandth of a gram, so there are 1,000 milligrams in one gram. Let's explain with a simple example how to convert one unit of measure to another. For example, you need to take medicine. The mass of one tablet is 0.5 g, a single dose is 250 mg. Let's bring the numbers to a single unit of measurement. The mass of the tablet is 0.5 * 1000 = 500 mg, therefore, two tablets are needed at one time. Accordingly, if we want to know 500 mg is how many grams, we need to do the following:

If it is necessary to do the opposite, to find out, for example, 0.3 g equals how many milligrams, we will do the following calculation:

The gram to milligram conversion table contains the most commonly used quantities

The table of grams and milligrams will easily allow you to make the necessary calculations without violating the dosage or prescription.

In ordinary life, we very often have to deal with the measurement of weight, whether it is our own weight or a purchased product. However, most often it is kilograms and grams. And in very rare cases - milligrams. Despite the seeming simplicity of the question, not every person will be able to immediately remember how many milligrams are in a gram. Although very often his life depends on the correct answer to this question.

What unit of measure is the gram

Before remembering how many milligrams are in a gram, it is worth brushing up on the knowledge of a gram. So, the gram is a unit of the SI system, designed to determine the mass. Its homeland is France, hence the melodic name gramme.

The gram as a unit of measurement was introduced in the last decade of the eighteenth century.

By weight, it is equal to 0.001 kilograms, (0.000001 tons, 0.00001 centners) in other words, there are a thousand grams in one kilogram.

Gram is denoted by the letter "g" in Cyrillic and the letter g in Latin.

Like other SI units, grams are used to measure weight in science, technology and in everyday life in most countries of Europe and the world. However, in the United States and some other countries, in the old fashioned way, weight is measured in pounds (pound), it is equal to approximately 0.45 kilograms. As in the old days, some countries have their own numerical equivalent of the pound, which is why there is confusion when converting to SI. In connection with this situation, countries using pounds are gradually starting to switch to kilograms.

An interesting fact, Rus' also had its own pound, and it was a little heavier than the modern one.

In the system of measuring weight in pounds, there is also a kind of analogue of a gram - an ounce (oz). It is equal in weight to 28.4 grams.

How many milligrams in one gram

Kilograms, centners and tons are units of measurement that are larger than a gram. But there are those that are smaller than it, the so-called "submultiple units". These include: milligram (mg-mg), microgram (mcg-mkg), nanogram (ng-ng) and pictogram (pg-pg). In addition to the milligram, all the rest are rarely used in everyday life, since there is no special need, and to measure them, you need an ultra-sensitive scale, which is not cheap.

The answer to the question of how many milligrams are in 1 gram is the number 1000, that is, one gram consists of a thousand milligrams, or 0.001 grams in one milligram.

Why do you need to know how many milligrams are in a gram

A milligram is a tiny measure of weight, which at first glance seems unsuitable for measuring anything with it in everyday life. After all, no one will measure sugar or cereals in milligrams.

However, if a person feels unwell and needs medication, starts calculating the required dosage of the drug, he will immediately understand why it is important to know how many milligrams are in a gram. After all, many drugs are prescribed in relation to the weight of the patient. And if a sick child or teenager, then the dose of the medicine should be small, most often less than a gram, so you need to clearly understand the gram / milligram ratio, otherwise you can cause irreparable harm to health.

For example, on vacation the child was bitten by a bee, the bitten place was swollen, which means that it is necessary to take an antihistamine. However, in the first-aid kit, this medicine is available only in tablets. After reading the instructions carefully, you can understand that one tablet weighs 1 gram, but children weighing up to 10 kilograms can be given no more than 250 milligrams of the drug at a time. With knowledge of a milligram, you can easily calculate the allowable dose: 1 g \u003d 1000 mg, 1000/250 \u003d 4, it turns out that only a quarter of a tablet can be given to a child at a time.

In recent years, it has become fashionable to prepare cosmetic skin care products with your own hands.
Especially popular was the manufacture of so-called soap from scratch. Despite the simplicity of the process, it is important to follow the dosage exactly, otherwise you can get burned. After all, if it is incorrect to calculate the proportion of oils and caustic soda, then either not all of the soda will interact with the oils and the rest of it will get on the skin when using soap; or there will be too much oil and the soap will not clean well.

milligram and milliliter

When analyzing the topic of milligrams, one cannot but mention the milliliter (ml). They are very often confused. It is worth remembering that milligrams measure weight, and milliliters measure volume. So the liquid is measured only in milliliters, and the scale for dividing syringes is milliliter, not milligram.

Tablets and powders are always measured in milligrams.

These two measures are equal in some cases, in other situations it is necessary to know the density of the liquid being measured in order to accurately calculate its weight.

Almost every day when shopping in a store, people have to convert kilograms to grams and vice versa, so this skill has been brought to automatism. In the case of grams and milligrams, this is all done in a similar way. Therefore, having learned how many milligrams are in a gram, you can then, if necessary, carry out these calculations yourself.

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